Half-integral weight modular forms and modular forms for Weil representations
MANUSCRIPTA MATHEMATICA(2019)
摘要
We establish an isomorphism between certain complex-valued and vector-valued modular form spaces of half-integral weight, generalizing the well-known isomorphism between modular forms for Γ _0(4) with Kohnen’s plus condition and modular forms for the Weil representation associated to the lattice with Gram matrix (2). With such an isomorphism, we prove the Zagier duality and express the Borcherds lifts in the case of O(2,1) explicitly.
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关键词
Primary: 11F37,11F30,11F27
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